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5x-10>6\left(x-1\right)
Use the distributive property to multiply 5 by x-2.
5x-10>6x-6
Use the distributive property to multiply 6 by x-1.
5x-10-6x>-6
Subtract 6x from both sides.
-x-10>-6
Combine 5x and -6x to get -x.
-x>-6+10
Add 10 to both sides.
-x>4
Add -6 and 10 to get 4.
x<-4
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.